A note on quasi-monotone operators.

Chow, S.S.

Displaying similar documents to “A note on quasi-monotone operators.”

Quasi-convex functions and quasi-monotone operators.

Levin, Vladimir L. (1995)

Journal of Convex Analysis

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Properties of a quasi-uniformly monotone operator and its application to the electromagnetic $p$-$\text {curl}$ systems

Chang-Ho Song, Yong-Gon Ri, Cholmin Sin (2022)

Applications of Mathematics

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In this paper we propose a new concept of quasi-uniform monotonicity weaker than the uniform monotonicity which has been developed in the study of nonlinear operator equation $Au=b$. We prove that if $A$ is a quasi-uniformly monotone and hemi-continuous operator, then $A^{-1}$ is strictly monotone, bounded and continuous, and thus the Galerkin approximations converge. Also we show an application of a quasi-uniformly monotone and hemi-continuous operator to the proof of the well-posedness...

Generalized bi-quasi-variational inequalities for quasi-semi-monotone and bi-quasi-semi-monotone operators with applications in non-compact settings and minimization problems.

Chowdhury, Mohammad S.R., Tarafdar, E. (2000)

Journal of Inequalities and Applications [electronic only]

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Generalized bi-quasivariational inequalities for quasi-pseudomonotone type II operators on noncompact sets.

Chowdhury, Mohammad S.R., Cho, Yeol Je (2010)

Journal of Inequalities and Applications [electronic only]

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Abstract quasi-variational inequalities of elliptic type and applications

Yusuke Murase (2009)

Banach Center Publications

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A class of quasi-variational inequalities (QVI) of elliptic type is studied in reflexive Banach spaces. The concept of QVI was earlier introduced by A. Bensoussan and J.-L. Lions [2] and its general theory has been developed by many mathematicians, for instance, see [6, 7, 9, 13] and a monograph [1]. In this paper we give a generalization of the existence theorem established in [14]. In our treatment we employ the compactness method along with a concept of convergence of nonlinear multivalued...